MATHEMATICS HIGH SCHOOL

Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?

Answers

Answer 1
Answer: Focus: ( 4, 1 )
Directrix: y = 5
The vertex is always half of a distance between the focus and the directrix.
The vertex must be at: ( 4, 3 ),  h = 4,  k = 3
|p| is the distance between the vertex and the directrix ( which is over the vertex and p is negative ).  p = - 2
The equation:
( x - h )² = 4 p ( y - k )  
( x - 4 )² = -8 ( y - 3 ) 

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11.Can 90 degree, 90degree and 20 degree form a triangle? *1 pointyesnosometimesnone of these​

Answers

Final answer:

Angles of a triangle always add up to 180 degrees. The given angles (90, 90, 20 degrees) give a total of 200 degrees, hence they cannot form a triangle.

Explanation:

In order for three angles to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must be greater than the measure of the third angle.

In this case, you have angles measuring 90 degrees, 90 degrees, and 20 degrees. Let's apply the theorem:

1. Angle 1: 90 degrees

2. Angle 2: 90 degrees

3. Angle 3: 20 degrees

Now, let's check if these angles satisfy the triangle inequality theorem:

- Angle 1 + Angle 2 = 90 degrees + 90 degrees = 180 degrees

- Angle 3 = 20 degrees

According to the theorem, the sum of any two angles must be greater than the measure of the third angle. However, in this case, the sum of Angle 1 and Angle 2 (180 degrees) is not greater than Angle 3 (20 degrees). Therefore, these angles do not satisfy the triangle inequality theorem.

So, the answer is "no," 90 degrees, 90 degrees, and 20 degrees cannot form a triangle because they do not satisfy the triangle inequality theorem.

Learn more about Angles of a triangle

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Answer:

no. never.

Step-by-step explanation:

total internal angles of a triangle sum to 180. 90 + 90 is 180 so no, you cannot have a triangle with sides 90 90 and 20. it is possiblw to have 90 45 and 45 though

Quadrilateral with 2 pairs of equal sides and 2 pairs of opposite angles that are equal is ________

Answers

Answer: Parallelogram.
Explanation: A simple quadrilateral with two pairs of equal opposite angles is a parallelogram. (Because then the opposite sides are parallel.) A simple quadrilateral with two pairs of equal opposite sides is a parallelogram.

Solve the equation for Q.
R = T - RQ

Answers

Answer:

\huge\boxed{Q=(T-R)/(R)=(T)/(R)-1}

Step-by-step explanation:

R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\n\nR+RQ=T-RQ+RQ\n\nR+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\n\nR-R+RQ=T-R\n\nRQ=T-R\qquad|\text{divide both sides by} \ R\neq0\n\n(RQ)/(R)=(T-R)/(R)\n\nQ=(T-R)/(R)\n\nQ=(T)/(R)-(R)/(R)\n\nQ=(T)/(R)-1

Decrease £270 by 25%

Answers

the answer is 269.75

A swimming pool holds 900 cubic meters of water. If its length is 20 meters and its height is 3 meters, find its width

Answers

V=900m³

V=L*w*h

V=20*3*w
V=60*w

60*w=900

w=900/60
w=15m
Volume \ of \ a \ Cuboid: \n \n V=9000 m^3 \nthe \ length : \ l=20 \ m \n the \ height: \ h=3 m \n the \ width : \ w= ? \n \nV= l\cdot w \cdot h \n \n900 =20 \cdot w \cdot 3 \n \n900=60w \ \ / :60\n \n w=15 \ m \n\nAnswer : \ A \ swimming \ holds \ 15 \ meters\ the \ width .

What is the final balance for the investment? $1200 for 3 years at 3% compounded annually A.
$1311.27

B.
$72.00

C.
$2636.40

D.
$1272.00

Answers

The amount is $1311.27 and the interest is $111.27.
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